Skip to Main content Skip to Navigation
New interface
Conference papers

Reachability of Delayed Hybrid Systems Using Level-set Methods

Abstract : This study proposes an algorithm to synthesize controllers for the power management on board hybrid vehicles that allows the vehicle to reach its maximum range along a given route. The algorithm stems from a level-set approach that computes the reachable set of the system, i.e., the collection of states reachable from a certain initial condition via the computation of the value function of an optimal control problem. The discrete-time vehicle model is one of a particular class of hybrid vehicles, namely, range extender electric vehicles (REEV). This kind of hybridization departures from a full electric vehicle that has an additional module -- the range extender (RE) -- as an extra energy source in addition to its main energy source -- a high voltage battery. As an important feature, our model allows for the switching on and off of the range extender and includes a decision lag constraint, i.e., imposes two consecutive switches to be separated by a positive time interval. The approach consists in the introduction of an adequate optimal control problem with lag constraints on the switch control whose value function allows a characterization of the reachable set. The value function is in turn characterized by a dynamic programming algorithm. This algorithm is implemented and some numerical examples are presented.
Document type :
Conference papers
Complete list of metadata

Cited literature [9 references]  Display  Hide  Download
Contributor : Giovanni Granato Connect in order to contact the contributor
Submitted on : Wednesday, September 26, 2012 - 2:11:55 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:05 PM
Long-term archiving on: : Friday, December 16, 2016 - 5:22:40 PM


Files produced by the author(s)


  • HAL Id : hal-00735660, version 1
  • ARXIV : 1209.5927


Giovanni Granato. Reachability of Delayed Hybrid Systems Using Level-set Methods. 3rd International Conference on Engineering Optimization, Jul 2012, Rio de Janeiro, Brazil. ⟨hal-00735660⟩



Record views


Files downloads